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Finding the Fourth Proportional to 5,178.80, 7,768.20 and 4,644.20

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Solution

The fourth proportional to 5,178.80, 7,768.20 and 4,644.20 is: 6,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.80 : 7,768.20 = 4,644.20 : x
  2. Step 2: Convert to fraction form
    5,178.80/7,768.20 = 4,644.20/x
  3. Step 3: Cross multiply
    5,178.80x = 7,768.20 × 4,644.20
  4. Step 4: Simplify right side
    5,178.80x = 36,077,074.44
  5. Step 5: Solve for x
    x = 36,077,074.44/5,178.80
  6. Step 6: Final answer
    x = 6,966.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.